Bounds on the fading number of multiple-input single-output fading channels with memory
Proceedings of the 2006 international conference on Wireless communications and mobile computing
Low-SNR capacity of noncoherent fading channels
IEEE Transactions on Information Theory
The fading number of multiple-input multiple-output fading channels with memory
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
On the sensitivity of noncoherent capacity to the channel model
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
Capacity bounds for peak-constrained multiantenna wideband channels
IEEE Transactions on Communications
Noncoherent capacity of underspread fading channels
IEEE Transactions on Information Theory
On the spectral efficiency of noncoherent doubly selective block-fading channels
IEEE Transactions on Information Theory
Multiuser MIMO achievable rates with downlink training and channel state
IEEE Transactions on Information Theory
Gaussian fading is the worst fading
IEEE Transactions on Information Theory
Problems of Information Transmission
On bandlimited fading channels at high SNR
Proceedings of the 4th International Symposium on Applied Sciences in Biomedical and Communication Technologies
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We consider a peak-power-limited single-antenna flat complex-Gaussian fading channel where the receiver and transmitter, while fully cognizant of the distribution of the fading process, have no knowledge of its realization. Upper and lower bounds on channel capacity are derived, with special emphasis on tightness in the high signal-to-noise ratio (SNR) regime. Necessary and sufficient conditions (in terms of the autocorrelation of the fading process) are derived for capacity to grow double-logarithmically in the SNR. For cases in which capacity increases logarithmically in the SNR, we provide an expression for the "pre-log", i.e., for the asymptotic ratio between channel capacity and the logarithm of the SNR. This ratio is given by the Lebesgue measure of the set of harmonics where the spectral density of the fading process is zero. We finally demonstrate that the asymptotic dependence of channel capacity on the SNR need not be limited to logarithmic or double-logarithmic behaviors. We exhibit power spectra for which capacity grows as a fractional power of the logarithm of the SNR